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Finding the Fourth Proportional to 56,572.32, 78,071.76 and 31,424.16

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Solution

The fourth proportional to 56,572.32, 78,071.76 and 31,424.16 is: 43,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,572.32 : 78,071.76 = 31,424.16 : x
  2. Step 2: Convert to fraction form
    56,572.32/78,071.76 = 31,424.16/x
  3. Step 3: Cross multiply
    56,572.32x = 78,071.76 × 31,424.16
  4. Step 4: Simplify right side
    56,572.32x = 2,453,339,477.72
  5. Step 5: Solve for x
    x = 2,453,339,477.72/56,572.32
  6. Step 6: Final answer
    x = 43,366.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.